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Finding the Fourth Proportional to 15,181.76, 20,953 and 8,894.28

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Solution

The fourth proportional to 15,181.76, 20,953 and 8,894.28 is: 12,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181.76 : 20,953 = 8,894.28 : x
  2. Step 2: Convert to fraction form
    15,181.76/20,953 = 8,894.28/x
  3. Step 3: Cross multiply
    15,181.76x = 20,953 × 8,894.28
  4. Step 4: Simplify right side
    15,181.76x = 186,361,848.84
  5. Step 5: Solve for x
    x = 186,361,848.84/15,181.76
  6. Step 6: Final answer
    x = 12,275.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.